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130086722592 = 25325324012
BaseRepresentation
bin111100100100111000…
…1011101110000100000
3110102202222010012122200
41321021301131300200
54112404200110332
6135432213533200
712253445616621
oct1711161356040
9412688105580
10130086722592
11501956220a2
1221265944200
13c361b49a88
146420c01a48
1535b579417c
hex1e49c5dc20

130086722592 has 162 divisors, whose sum is σ = 377988310791. Its totient is φ = 42437990400.

The previous prime is 130086722587. The next prime is 130086722651. The reversal of 130086722592 is 295227680031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

130086722592 is a `hidden beast` number, since 1 + 30 + 0 + 8 + 6 + 7 + 22 + 592 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 127937843856 + 2148878736 = 357684^2 + 46356^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=255036.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 324405592 + ... + 324405992.

Almost surely, 2130086722592 is an apocalyptic number.

130086722592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130086722592

130086722592 is an abundant number, since it is smaller than the sum of its proper divisors (247901588199).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130086722592 is an frugal number, since it uses more digits than its factorization.

130086722592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 130086722592 in words is "one hundred thirty billion, eighty-six million, seven hundred twenty-two thousand, five hundred ninety-two".